Roman Lubkov

  • Curriculum Vitae: pdf (Last updated: July 27, 2026)
  • List of Publications: pdf (Last updated: July 27, 2026)
  • Research databases:
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Current positions Link to heading

  • since Sep. 2025: Associate Professor, Mathematics and Computer Science Department, St. Petersburg University
  • since Sep. 2025: Prime instructor, St. Petersburg Center for Artificial Intelligence and Information Technologies

Education Link to heading

  • 2022: Ph.D. in Mathematics and Physics, St. Petersburg University.
  • Defense details: Dissertation Council Page | Thesis: PDF (RU/EN)
  • 2017: M.Sc. in Mathematics, St. Petersburg University
  • 2015: B.Sc. in Mathematics, St. Petersburg University

Research interests Link to heading

  • Algebraic groups: Structure theory over rings (Chevalley groups, Steinberg groups, and their relatives; representation theory of such groups)
  • Invariant theory: Geometry and structure problems defining algebraic groups via invariants; algebro-geometric [Grothendieck] aspects
  • Non-associative algebras: Algebraic and geometric classifications of Jordan, Novikov, and alternative-like algebras (and superalgebras); Transposed Poisson structures, derivations, deformations, and degenerations.

Grants, Prizes, and Awards Link to heading

  • 2025–2027: Grant of Russian Science Foundation No 25-21-00545
  • 2023–2025: Grant of Russian Science Foundation No 22-71-10001
  • 2023: The “School” competition of Theoretical Physics and Mathematics Advancement Foundation “BASIS”, junior postdoctoral award
  • 2022: Scholarship of the program “Home towns”, Gazprom Neft PJCS, junior postdoctoral award
  • 2019–2022: Russian Foundation of Basic Research, individual grant for doctoral students No 19-31-90072
  • 2018: Rokhlin Stipends for Young Mathematicians, graduate student award
  • 2013: Scholarship of Chebyshev Laboratory, undergraduate student award

Contact Link to heading

E-mail: email

Faculty of Mathematics and Computer Science St. Petersburg University 29th line Vasilievski island 199178, St. Petersburg, Russia

Publications and Preprints Link to heading

(Last updated: June 24, 2026)
Preprints Link to heading
1R. Lubkov and A. Stepanov, Subgroups of general linear groups, containing the exterior square of the elementary subgroup (preprint)
Published Link to heading
1R. Lubkov and I. Shiringovskiy, Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: derivations, automorphisms, and Rota–Baxter operators, Commun. Math., vol. 34, no. 1, art.no. 14, 2026
PDF DOI ArXiv
2H. Abdelwahab, I. Kaygorodov, R. Lubkov, The algebraic and geometric classification of derived Jordan and bicommutative algebras, J. Pure Appl. Algebr., vol. 230, no. 5, art.no. 108252, 2026
DOI ArXiv
3H. Abdelwahab, I. Kaygorodov, R. Lubkov, The algebraic and geometric classification of right alternative and semi-alternative algebras, J. Algebr., vol. 687, no. 1, pp. 792–824, 2026
DOI ArXiv
4H. Abdelwahab, I. Kaygorodov, R. Lubkov, The algebraic and geometric classification of $\delta$-Novikov algebras, Boletín la Soc. Matemática Mex., vol. 31, no. 3, art.no. 145, 2025
DOI ArXiv
5K. Abdurasulov, R. Lubkov, A. Saydaliyev, The algebraic and geometric classification of Jordan superalgebras, Sib. Electron. Math. Reports, vol. 22, no. 1, pp. 813–852, 2025
PDF DOI ArXiv
6R. Lubkov, The reverse decomposition of unipotens in polyvector representations, J. Math. Sci., vol. 288, no. 3, pp. 350–361, 2025
PDF DOI
7R. Lubkov, Overgroups of elementary groups in polyvector representations (Russian), J. Math. Sci., vol. 531, pp. 101–116, 2024
PDF
8R. Lubkov and I. Nekrasov, Overgroups of exterior powers of an elementary group. Normalizers, Doc. Math., vol. 29, no. 5, pp. 1243–1268, 2024
PDF DOI ArXiv
9R. Lubkov and I. Nekrasov, Overgroups of exterior powers of an elementary group. Levels, Linear Multilinear Algebr., vol. 72, no. 4, pp. 563–584, 2022
DOI ArXiv
10R. Lubkov, The reverse decomposition of unipotents for bivectors, Commun. Algebr., vol. 49, no. 10, pp. 4546–4556, 2021
DOI ArXiv
11R. Lubkov and A. Stepanov, Subgroups of Chevalley Groups Over Rings, J. Math. Sci., vol. 252, no. 6, pp. 829–840, 2021
PDF DOI
12R. Lubkov and I. Nekrasov, Explicit Equations for Exterior Square of the General Linear Group, J. Math. Sci., vol. 243, no. 4, pp. 583–594, 2019
PDF DOI ArXiv